1950 AMC 12 Problem 36
Attempt Problem 36 of the 1950 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1950 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
36.
A merchant buys goods at off the list price. He desires to mark the goods so that he can give a discount of on the marked price and still clear a profit of on the selling price. What per cent of the list price must he mark the goods?
Answer: A
Small Hint:
Take the list price to be and the marked price to be
Big Hint:
The cost is the selling price is and the cost is of the selling price
Solution:
Let the list and marked prices be and The merchant’s cost is while the selling price after the discount is A profit equal to of the selling price means that the cost is the remaining of that price. Therefore Thus or of the list price.
Thus, the correct answer is A.
Problem 36 in Other Years
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